Which polynomial does this sum of tiles represent?
1 answer:
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1. Consider right triangle ABK. In this triangle AB is the hypotenuse, BK and AK are legs. By the Pythagorean theorem,
2. Use the definition of
Then
3. Consider right triangle ABD. In this triangle AD is the hypotenuse, AB and BD are legs. Since then
The leg that is opposite to the angle of 30° is half of the hypotenuse, so
4. The area of parallelogram aBCD is